Details

Time bar (total: 8.2s)

sample101.0ms

Algorithm
intervals
Results
40.0ms795×body80nan
11.0ms202×body80valid
8.0ms24×body640valid
6.0ms10×body1280valid
2.0ms13×body320valid
1.0ms9×body160valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
6.5b
(log (- 1.0 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
15×log-prod
8×add-cube-cbrt
7×pow1
6×add-exp-log
5×distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
4×associate-*r* distribute-lft-out-- difference-of-squares
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×log-div flip3-- associate-*l/ log-pow flip--
1×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 63
Calls
3 calls:
14.0ms
(* (- z 1.0) (log (- 1.0 y)))
0.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
3.0ms
(log (- 1.0 y))

series293.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (- z 1.0) (log (- 1.0 y)))
202.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
45.0ms
(log (- 1.0 y))

simplify35.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0364521
11204461
25001449

prune232.0ms

Filtered
72 candidates to 55 candidates (76.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b
(- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.1b
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt
80×times-frac
78×*-un-lft-identity
74×associate-*r*
73×add-cube-cbrt
56×unpow-prod-down
51×prod-diff
46×associate--l+
34×distribute-rgt-in distribute-lft-in
29×add-exp-log
24×unpow2 sqr-pow
21×pow1
18×unswap-sqr
13×log-pow
12×log-prod
11×prod-exp add-cbrt-cube
9×div-exp
8×associate-*l*
7×flip3-- flip--
6×pow-to-exp pow-exp add-log-exp
5×sub-neg
4×expm1-log1p-u frac-times log1p-expm1-u
3×associate-*r/ cbrt-unprod distribute-lft-out--
2×pow-prod-down associate-*l/ *-commutative difference-of-squares
1×cbrt-undiv fma-neg diff-log fma-udef div-inv
Counts
4 → 241
Calls
4 calls:
42.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
23.0ms
(- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
31.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

series473.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
141.0ms
(- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
52.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
213.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

simplify63.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010533803
150012532

prune882.0ms

Filtered
253 candidates to 157 candidates (62.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
0.2b
(cbrt (- z 1.0))
0.2b
(cbrt (- z 1.0))
0.2b
(cbrt (- z 1.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
20.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
5.0ms
(cbrt (- z 1.0))
2.0ms
(cbrt (- z 1.0))
2.0ms
(cbrt (- z 1.0))

series419.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
97.0ms
(cbrt (- z 1.0))
96.0ms
(cbrt (- z 1.0))
98.0ms
(cbrt (- z 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0384861
11303823
25002757

prune622.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))
0.1b
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))) t))
1.8b
(log (- (pow 1.0 3) (pow y 3)))
6.5b
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
78×log-prod
62×*-un-lft-identity
50×associate--l+ difference-of-squares
45×distribute-rgt-in distribute-lft-in
36×unpow-prod-down cube-prod
32×prod-diff
28×pow1
26×add-cube-cbrt
24×sqr-pow
22×log-pow
20×distribute-lft-out--
8×add-exp-log log-div associate-*r*
7×flip3-- flip--
6×add-cbrt-cube
5×associate-*l*
4×expm1-log1p-u frac-times log1p-expm1-u associate--r- add-log-exp
3×difference-cubes flip3-+ flip-+
2×sub-neg associate-*r/ rem-log-exp associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 189
Calls
4 calls:
58.0ms
(* (- z 1.0) (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))
0.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))) t))
21.0ms
(log (- (pow 1.0 3) (pow y 3)))
7.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series734.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (- z 1.0) (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))
291.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log (- (pow 1.0 3) (pow y 3))) (log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))) t))
258.0ms
(log (- (pow 1.0 3) (pow y 3)))
65.0ms
(log (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify115.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08464220
136823413
250013408

prune575.0ms

Filtered
201 candidates to 102 candidates (50.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes307.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s23853×body80nan
317.0ms5869×body80valid
240.0ms780×body640valid
168.0ms283×body1280valid
122.0ms669×body320valid
49.0ms436×body160valid