Details

Time bar (total: 8.5s)

sample72.0ms

Algorithm
intervals
Results
25.0ms721×body80nan
10.0ms256×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune6.0ms

Pruning

1 alts after pruning (1 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)))

rewrite23.0ms

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:
21.0ms
(- (log t) (+ y z))
0.0ms
(fma (log y) x (- (log t) (+ y z)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (log t) (+ y z))
50.0ms
(fma (log y) x (- (log t) (+ y z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0242500
1768348
24200307
35001307

prune133.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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))))
0.6b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite15.0ms

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))))
11.0ms
(* (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:
296.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
290.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
300.0ms
(cbrt (fma (log y) x (- (log t) (+ y z))))
305.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03931346
115561220
250011117

prune341.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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 (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.6b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.6b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
87×cbrt-prod
66×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
25×pow1
21×swap-sqr associate-*r* associate-*l*
19×pow1/3
17×unswap-sqr
10×add-exp-log
6×pow-prod-down pow-sqr pow-prod-up
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 151
Calls
4 calls:
5.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
18.0ms
(* (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))))
10.0ms
(* (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)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
310.0ms
(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
308.0ms
(* (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))))
305.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
309.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04522821
118212612
250022315

prune649.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b
(* (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.6b
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
88×cbrt-prod
54×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity
18×pow1
15×swap-sqr associate-*r* associate-*l*
14×pow1/3
13×unswap-sqr
8×add-exp-log
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 → 130
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
1.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
18.0ms
(* (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) (cbrt (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)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
311.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
307.0ms
(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))
305.0ms
(* (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))) (cbrt (cbrt (fma (log y) x (- (log t) (+ y z))))))
305.0ms
(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify89.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05982420
124132255
250012050

prune518.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes263.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample2.2s

Algorithm
intervals
Results
775.0ms24138×body80nan
320.0ms8024×body80valid
0.0ms2×body160valid