Details

Time bar (total: 8.3s)

sample77.0ms

Algorithm
intervals
Results
24.0ms823×body80nan
10.0ms260×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (log t) (+ y z))
0.1b
(fma (log y) x (- (log t) (+ y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
16×prod-diff
14×add-sqr-sqrt
12×add-cube-cbrt
9×pow1
7×log-pow
6×distribute-lft-out
5×add-log-exp
4×fma-neg distribute-lft-out--
3×log-prod associate--l+
2×add-exp-log expm1-log1p-u diff-log add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- sum-log flip-- fma-udef associate--r+ difference-of-squares
Counts
2 → 54
Calls
2 calls:
24.0ms
(- (log t) (+ y z))
0.0ms
(fma (log y) x (- (log t) (+ y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (log t) (+ y z))
48.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0242500
1768348
24200307
35001307

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
22.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
294.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
293.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
327.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03931346
115561220
250011117

prune492.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b
(* (* (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
23×add-sqr-sqrt
16×pow1 add-cube-cbrt
15×*-un-lft-identity
12×associate-*r*
11×add-exp-log pow1/3
7×swap-sqr associate-*l* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
11.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
37.0ms
(* (* (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
5.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
303.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
306.0ms
(* (* (cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
301.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

simplify76.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06102103
125201887
250011690

prune409.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×cbrt-prod
20×add-cube-cbrt *-un-lft-identity
18×pow1
14×pow1/3
12×swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
4×expm1-log1p-u pow-prod-down 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 → 106
Calls
4 calls:
11.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
11.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
5.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
5.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
305.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
304.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
307.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
299.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03921938
115491762
250011578

prune506.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample2.3s

Algorithm
intervals
Results
755.0ms24362×body80nan
318.0ms8029×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid