Details

Time bar (total: 8.6s)

sample73.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
19.0ms288×body80nan

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
1.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b
(/ (* z (sqrt (+ t a))) t)

rewrite74.0ms

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:
12.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
42.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series349.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
185.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
83.0ms
(/ (* z (sqrt (+ t a))) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013772637
150012324

prune961.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.7b
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite3.0ms

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:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt t)
181.0ms
(cbrt t)
172.0ms
(cbrt t)
524.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify41.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0144371
1345322
21221312
35001306

prune405.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
4.1b
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t)))) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
10.9b
(log (exp (cbrt t)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×exp-prod
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×log-prod
2×pow1/3
1×rem-log-exp fma-udef
Counts
4 → 56
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t)))) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
2.0ms
(log (exp (cbrt t)))

series876.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt t)
181.0ms
(cbrt t)
337.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t)))) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
177.0ms
(log (exp (cbrt t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0178420
1389363
21282352
35001343

prune474.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (exp (* a (- c b))) (exp (fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t))))
1.1b
(log (* (exp (* a (- c b))) (exp (fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t)))))
1.4b
(fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t))
5.8b
(/ (* z (sqrt (+ t a))) t)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
25×associate-*l*
23×exp-sum
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×prod-diff
11×distribute-rgt-in distribute-lft-in add-cbrt-cube
10×add-exp-log
9×pow1
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×times-frac prod-exp associate-/r*
2×cbrt-undiv sub-neg sqrt-div associate-*r/ div-exp rem-log-exp pow-prod-down log-pow cbrt-unprod fma-udef associate-/l/
1×log-prod frac-2neg flip3-+ clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 92
Calls
4 calls:
30.0ms
(* (exp (* a (- c b))) (exp (fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t))))
10.0ms
(log (* (exp (* a (- c b))) (exp (fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t)))))
0.0ms
(fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series1.3s

Counts
4 → 12
Calls
4 calls:
725.0ms
(* (exp (* a (- c b))) (exp (fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t))))
291.0ms
(log (* (exp (* a (- c b))) (exp (fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t)))))
164.0ms
(fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t))
82.0ms
(/ (* z (sqrt (+ t a))) t)

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05841558
121131312
250011301

prune735.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

0% (1.4b remaining)

Error of 2.0b against oracle of 0.6b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04222
14422
24422

end0.0ms

sample1.7s

Algorithm
intervals
Results
558.0ms8000×body80valid
504.0ms7787×body80nan