Details

Time bar (total: 7.9s)

sample95.0ms

Algorithm
intervals
Results
35.0ms746×body80nan
10.0ms193×body80valid
9.0ms28×body640valid
4.0ms21×body320valid
3.0ms5×body1280valid
1.0ms11×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
6.4b
(log (- 1.0 y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt log-prod *-un-lft-identity
3×pow1 add-exp-log add-cube-cbrt
2×expm1-log1p-u log-div add-cbrt-cube log1p-expm1-u add-log-exp
1×flip3-- rem-log-exp log-pow flip-- fma-udef distribute-lft-out-- difference-of-squares
Counts
2 → 28
Calls
2 calls:
0.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
3.0ms
(log (- 1.0 y))

series241.0ms

Counts
2 → 6
Calls
2 calls:
198.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
43.0ms
(log (- 1.0 y))

simplify58.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0232246
1620216
22162213
35001212

prune132.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

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))

rewrite101.0ms

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:
39.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
21.0ms
(- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
27.0ms
(* 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))

series478.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
145.0ms
(- (* (- 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)))
217.0ms
(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))

simplify140.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
010533734
146722536
250012535

prune884.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- z 1.0))
0.3b
(cbrt (- z 1.0))
0.3b
(cbrt (- z 1.0))
0.3b
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

rewrite29.0ms

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:
2.0ms
(cbrt (- z 1.0))
2.0ms
(cbrt (- z 1.0))
2.0ms
(cbrt (- z 1.0))
19.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (- z 1.0))
94.0ms
(cbrt (- z 1.0))
97.0ms
(cbrt (- z 1.0))
127.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0384861
11310823
25002757

prune606.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- z 1.0))
0.3b
(cbrt (- z 1.0))
0.3b
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
0.3b
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
66×cbrt-prod
58×add-sqr-sqrt
54×*-un-lft-identity
28×cbrt-div
22×add-cube-cbrt
20×swap-sqr
18×pow1
16×associate-*r* associate-*l*
14×flip3-- pow1/3 flip-- distribute-lft-out--
10×difference-of-squares
8×add-exp-log frac-times unswap-sqr
4×expm1-log1p-u associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 150
Calls
4 calls:
2.0ms
(cbrt (- z 1.0))
2.0ms
(cbrt (- z 1.0))
19.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
22.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (- z 1.0))
93.0ms
(cbrt (- z 1.0))
118.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))
122.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03841214
113101158
250021062

prune893.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes283.0ms

Accuracy

0% (0.3b 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

sample2.8s

Algorithm
intervals
Results
1.1s24277×body80nan
310.0ms5914×body80valid
227.0ms760×body640valid
153.0ms255×body1280valid
118.0ms659×body320valid
50.0ms446×body160valid