Details

Time bar (total: 9.0s)

sample105.0ms

Algorithm
intervals
Results
41.0ms256×body80valid
30.0ms251×body80nan

simplify42.0ms

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: 4.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.4b
(/ 2.0 (* t 3.0))
2.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.6b
(/ (* z (sqrt (+ t a))) t)

rewrite69.0ms

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:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
40.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series334.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
176.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify56.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013772637
150012324

prune899.0ms

Pruning

4 alts after pruning (4 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)
1.2b
(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))))))

series872.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt t)
174.0ms
(cbrt t)
183.0ms
(cbrt t)
331.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0144371
1345322
21221312
35001306

prune401.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (* t 3.0))
3.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
5.2b
(log (exp (/ 2.0 (* t 3.0))))
5.6b
(/ (* z (sqrt (+ t a))) t)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
105×*-un-lft-identity
95×prod-diff
94×associate--r+
72×log-pow
63×exp-prod
61×add-sqr-sqrt add-cube-cbrt
47×distribute-rgt-in distribute-lft-in
39×times-frac
22×distribute-lft-out
14×add-exp-log add-cbrt-cube
13×pow1 div-inv
8×frac-sub
7×flip3-- fma-neg flip--
6×add-log-exp
4×cbrt-undiv expm1-log1p-u frac-times associate-*r/ div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg log-prod
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 199
Calls
4 calls:
3.0ms
(/ 2.0 (* t 3.0))
47.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.0ms
(log (exp (/ 2.0 (* t 3.0))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series294.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
179.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
16.0ms
(log (exp (/ 2.0 (* t 3.0))))
83.0ms
(/ (* z (sqrt (+ t a))) t)

simplify63.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012143242
150012728

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
4.8b
(fma (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
11.2b
(log (exp (cbrt t)))

rewrite4.0ms

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) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
2.0ms
(log (exp (cbrt t)))

series885.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt t)
187.0ms
(cbrt t)
330.0ms
(fma (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
186.0ms
(log (exp (cbrt t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0180420
1389361
21282350
35001343

prune458.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes318.0ms

Accuracy

0% (1.3b remaining)

Error of 1.7b against oracle of 0.5b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04222
14422
24422

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s8000×body80valid
980.0ms8047×body80nan