Details

Time bar (total: 11.4s)

sample78.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
19.0ms252×body80nan

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.4b
(/ (* z (sqrt (+ t a))) t)

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
21.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
65.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms
(/ (* z (sqrt (+ t a))) t)

series314.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
170.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
70.0ms
(/ (* z (sqrt (+ t a))) t)

simplify55.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013772637
150012324

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

series1.0s

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt t)
184.0ms
(cbrt t)
172.0ms
(cbrt t)
515.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify45.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0144371
1339322
21169312
35002308

prune933.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
4.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))
6.4b
(/ (* z (sqrt (+ t a))) t)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
33×add-sqr-sqrt
31×prod-diff
30×associate--r+
29×add-cube-cbrt
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
12×times-frac
8×frac-sub
7×flip3-- fma-neg associate-*r* flip-- distribute-lft-out
6×pow1 associate-*r/ add-log-exp
5×sqrt-prod
4×cbrt-undiv expm1-log1p-u frac-times sqrt-div div-exp associate-/r* log1p-expm1-u div-inv associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg flip3-+ associate-*l/ associate--l+ clear-num flip-+ associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 141
Calls
4 calls:
21.0ms
(* z (sqrt (+ t a)))
7.0ms
(/ 2.0 (* t 3.0))
56.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))
15.0ms
(/ (* z (sqrt (+ t a))) t)

series403.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
254.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))
74.0ms
(/ (* z (sqrt (+ t a))) t)

simplify133.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
010282010
149241664
250011614

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(fma (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- (- b c)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
1.4b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- (- b c)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
64.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
183.0ms
(cbrt t)
183.0ms
(fma (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- (- b c)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
99.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify83.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06941460
133911214
250021146

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes302.0ms

Accuracy

0% (0.9b remaining)

Error of 1.4b against oracle of 0.5b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04433
14433

end0.0ms

sample1.9s

Algorithm
intervals
Results
646.0ms8000×body80valid
620.0ms8005×body80nan