Details

Time bar (total: 4.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.2b
(/ x (* (- y z) (- t z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
19.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- y z) (- t z))
126.0ms
(/ x (* (- y z) (- t z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0384705
11834535
25002528

prune205.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.2b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
26×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×div-exp
8×prod-exp
6×associate-/r/ unswap-sqr
5×cbrt-undiv associate-/r*
4×pow1 cbrt-unprod
3×flip3-- flip-- div-inv associate-/l*
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 113
Calls
2 calls:
5.0ms
(/ x (- t z))
36.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series267.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (- t z))
230.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0472736
12014646
25001626

prune319.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.1b
(/ (/ x (- t z)) (- y z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
6.0ms
(/ x (- t z))
17.0ms
(/ (/ x (- t z)) (- y z))

series193.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (- t z))
158.0ms
(/ (/ x (- t z)) (- y z))

simplify79.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
06441751
123221707
250011707

prune578.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

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:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (cbrt x) (cbrt x))
215.0ms
(cbrt x)
205.0ms
(cbrt x)
450.0ms
(cbrt x)

simplify101.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune340.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1154
2154

end0.0ms

sample457.0ms

Algorithm
intervals
Results
240.0ms8435×body80valid